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Finding the Fourth Proportional to 9,782.92, 13,487.73 and 6,239.98

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Solution

The fourth proportional to 9,782.92, 13,487.73 and 6,239.98 is: 8,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.92 : 13,487.73 = 6,239.98 : x
  2. Step 2: Convert to fraction form
    9,782.92/13,487.73 = 6,239.98/x
  3. Step 3: Cross multiply
    9,782.92x = 13,487.73 × 6,239.98
  4. Step 4: Simplify right side
    9,782.92x = 84,163,165.45
  5. Step 5: Solve for x
    x = 84,163,165.45/9,782.92
  6. Step 6: Final answer
    x = 8,603.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.